RMxAA

Revista Mexicana de Astronomía y Astrofísica

ISSN: 3061-8649
Vol. 60 No. 1 (2024), Research articles
Vol. 60 No. 1 (2024)
Research articles

Computing Polytropic and Isothermal Models Using Monte Carlo Method

DOI: https://doi.org/10.22201/ia.01851101p.2024.60.01.01
Published 2024-04-01
Nouh M. I.
Astronomy Department, National Research Institute of Astronomy and Geophysics (NRIAG), Cairo, Egypt.
Elkholy E. A.
Department of Physics, College of Science, Northern Border University, Arar, Saudi Arabia. & Astronomy Department, National Research Institute of Astronomy and Geophysics (NRIAG), Cairo, Egypt.
El-Essawy S. H.
Astronomy Department, National Research Institute of Astronomy and Geophysics (NRIAG), Cairo, Egypt.
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Keywords

equation of state
methods: numerical
methods: statistical
stars: interiors

How to Cite

Computing Polytropic and Isothermal Models Using Monte Carlo Method. (2024). Revista Mexicana De Astronomía Y Astrofísica, 60(1), 3-12. https://doi.org/10.22201/ia.01851101p.2024.60.01.01
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Abstract

Polytropic and isothermal gas spheres are crucial in the theory of stellar structure and evolution, galaxy cluster modeling, thermodynamics, and various other physics, chemistry, and engineering disciplines. Based on two Monte Carlo algorithms (MC1 and MC2), we introduce a numerical approach for solving Lane-Emden (LE) equations of the polytropic and isothermal gas spheres. We found that the MC1 and MC2 models agree with each other and also with numerical and analytical models. We tested the compatibility between the MC and the numerical polytropic models by calculating the mass-radius relation and the pressure profile for the polytrope with n=3.

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